The equations of linear system are
.
Write each equation in slope - intercept form or
, where m is slope and b is y - intercept.
Rewrite the equation 1:
in slope - intercept form.
Subtract 9x from each side.
\


Divide each side by negative 15.
\
Cancel common terms.
\
.
The slope of
is
and its y - intercept is
.
\
Rewrite the equation 2:
in slope - intercept form.
Subtract 6x from each side.
\


Divide each side by negative 10.
\
Cancel common terms.
\
.
The slope of
is
and its y - intercept is
.
The two line equations have the same slope and the same y - intercept, so the system has infinitely many solutions.
The linear system has infinitely many solutions.